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Finding the Fourth Proportional to 285,055.52, 427,452.40 and 82,605.60

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Solution

The fourth proportional to 285,055.52, 427,452.40 and 82,605.60 is: 123,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.52 : 427,452.40 = 82,605.60 : x
  2. Step 2: Convert to fraction form
    285,055.52/427,452.40 = 82,605.60/x
  3. Step 3: Cross multiply
    285,055.52x = 427,452.40 × 82,605.60
  4. Step 4: Simplify right side
    285,055.52x = 35,309,961,973.44
  5. Step 5: Solve for x
    x = 35,309,961,973.44/285,055.52
  6. Step 6: Final answer
    x = 123,870.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.